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Finding the Third Proportional to 122,821 and 260,404

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Solution

The third proportional to 122,821 and 260,404 is: 552,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,821 : 260,404 = 260,404 : x
  2. Step 2: Convert to fraction form
    122,821/260,404 = 260,404/x
  3. Step 3: Cross multiply
    122,821x = 260,404 × 260,404
  4. Step 4: Simplify right side
    122,821x = 67,810,243,216
  5. Step 5: Solve for x
    x = 67,810,243,216/122,821
  6. Step 6: Final answer
    x = 552,106.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.